Dynamic Group Diffie-Hellman Key Exchange under Standard Assumptions
- Cite this paper as:
- Bresson E., Chevassut O., Pointcheval D. (2002) Dynamic Group Diffie-Hellman Key Exchange under Standard Assumptions. In: Knudsen L.R. (eds) Advances in Cryptology — EUROCRYPT 2002. EUROCRYPT 2002. Lecture Notes in Computer Science, vol 2332. Springer, Berlin, Heidelberg
Authenticated Diffie-Hellman key exchange allows two principals communicating over a public network, and each holding public/private keys, to agree on a shared secret value. In this paper we study the natural extension of this cryptographic problem to a group of principals. We begin from existing formal security models and refine them to incorporate major missing details (e.g., strong-corruption and concurrent sessions). Within this model we define the execution of a protocol for authenticated dynamic group Diffie-Hellman and show that it is provably secure under the decisional Diffie-Hellman assumption. Our security result holds in the standard model and thus provides better security guarantees than previously published results in the random oracle model.